The Riemann hypothesis and functional equations for zeta functions over \(\mathbb F_1\)

DOI10.3792/pjaa.85.75zbMath1275.11125OpenAlexW2053687777MaRDI QIDQ834538

Shin-ya Koyama, Sojung Kim, Nobushige Kurokawa

Publication date: 27 August 2009

Published in: Proceedings of the Japan Academy. Series A (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3792/pjaa.85.75

zbMATH Keywords

zeta functionsfield with one elementabsolute mathematics

Mathematics Subject Classification ID

Zeta functions and related questions in algebraic geometry (e.g., Birch-Swinnerton-Dyer conjecture) (14G10) Zeta and (L)-functions in characteristic (p) (11M38)

Related Items (1)

Zeta functions of generalized permutations with application to their factorization formulas

Cites Work

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• Evolution of social behavior in finite populations: a payoff transformation in general \(n\)-player games and its implications
• Zeta functions over \(\mathbb F_1\)
• Absolute zeta functions
• Multiple zeta functions: the double sine function and the signed double Poisson summation formula

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